diff --git a/python/tvm/auto_scheduler/measure.py b/python/tvm/auto_scheduler/measure.py
index 3c4aeea5af67..03ad23ef6a62 100644
--- a/python/tvm/auto_scheduler/measure.py
+++ b/python/tvm/auto_scheduler/measure.py
@@ -200,7 +200,7 @@ def __init__(self,
 class LocalRunner(ProgramRunner):
     """ LocalRunner that uses local CPU/GPU to measures the time cost of programs.
 
-    TODO(FrozenGene): Add cpu cache flush to this runner
+    TODO(FrozenGene): Add cpu cache flush to this runner.
 
     Parameters
     ----------
@@ -237,7 +237,6 @@ def __init__(self,
             _ffi_api.LocalRunner, timeout, number, repeat, min_repeat_ms, cooldown_interval)
 
 
-
 @tvm._ffi.register_object("auto_scheduler.RPCRunner")
 class RPCRunner(ProgramRunner):
     """ RPCRunner that uses RPC call to measures the time cost of programs on remote devices.
@@ -433,7 +432,8 @@ def timed_func():
                 dirname, "tmp_func." + build_func.output_format)
 
             try:
-                with transform.PassContext():  # todo(lmzheng): port the unroll pass
+                # TODO(merrymercy): Port the unroll pass.
+                with transform.PassContext():
                     func = build_module.build(
                         sch, args, target=task.target, target_host=task.target_host)
                 func.export_library(filename, build_func)
@@ -565,7 +565,7 @@ def timed_func(inp, build_res):
 
         if error_no == 0:
             try:
-                # TODO(FrozenGene): Update to ndarray.non-empty
+                # TODO(FrozenGene): Update to ndarray.non-empty.
                 args = [ndarray.empty(get_const_tuple(x.shape), x.dtype, ctx) for x in
                         build_res.args]
                 ctx.sync()
@@ -656,7 +656,7 @@ def timed_func():
 
         if error_no == 0:
             try:
-                # TODO(FrozenGene): Update to ndarray.non-empty
+                # TODO(FrozenGene): Update to ndarray.non-empty.
                 args = [ndarray.empty(get_const_tuple(x.shape), x.dtype, ctx) for x in
                         build_res.args]
                 ctx.sync()
diff --git a/python/tvm/auto_scheduler/utils.py b/python/tvm/auto_scheduler/utils.py
index f34db44fc4b0..f5b53fb2a446 100644
--- a/python/tvm/auto_scheduler/utils.py
+++ b/python/tvm/auto_scheduler/utils.py
@@ -199,26 +199,27 @@ def func_wrapper(que):
 
 
 def request_remote(device_key, host=None, port=None, priority=1, timeout=60):
-    """Request a remote session
+    """ Request a remote session.
 
     Parameters
     ----------
     device_key : str
-        The device key of registered device in tracker
+        The device key of registered device in tracker.
     host : Optional[str]
         The host address of rpc tracker.
-        If is none, will use environment variable "TVM_TRACKER_HOST"
+        If is none, will use environment variable "TVM_TRACKER_HOST".
     port : Optional[int]
         The port of rpc tracker.
-        If is none, will use environment variable "TVM_TRACKER_PORT"
+        If is none, will use environment variable "TVM_TRACKER_PORT".
     priority : int = 1
-        The priority of this request, larger is more prior
+        The priority of this request, larger is more prior.
     timeout : int = 60
-        The timeout of this session (units: second)
+        The timeout of this session in second.
 
     Returns
     -------
-    session : RPCSession
+    remote : RPCSession
+        The connected remote RPCSession.
     """
     # connect to the tracker
     host = host or os.environ['TVM_TRACKER_HOST']
@@ -232,27 +233,27 @@ def request_remote(device_key, host=None, port=None, priority=1, timeout=60):
 
 def check_remote(device_key, host=None, port=None, priority=100, timeout=10):
     """
-    Check the availability of a remote device
+    Check the availability of a remote device.
 
     Parameters
     ----------
     device_key: str
-        device key of registered device in tracker
+        device key of registered device in tracker.
     host: Optional[str]
         The host address of rpc tracker.
-        If is none, will use environment variable "TVM_TRACKER_HOST"
+        If is none, will use environment variable "TVM_TRACKER_HOST".
     port: Optional[int]
         The port address of rpc tracker.
-        If is none, will use environment variable "TVM_TRACKER_PORT"
+        If is none, will use environment variable "TVM_TRACKER_PORT".
     priority: int = 100
-        The priority of this request, larger is more prior
+        The priority of this request, larger is more prior.
     timeout: int = 10
-        The timeout of this check (units: seconds).
+        The timeout of this check in seconds.
 
     Returns
     -------
     available: bool
-        True if can find available device
+        True if can find available device.
     """
 
     def _check():